GCD of 504, 456, 480 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 504, 456, 480 quickly. Get the easiest ways to solve the greatest common divisor of 504, 456, 480 i.e 24 in different methods as follows.
Given Input numbers are 504, 456, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (504, 456, 480) = 24.
Given numbers are 504, 456, 480
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 23 x 31
Therefore, GCD of 504, 456, 480 is 24.
Steps to Calculate GCD of 504, 456, 480 using LCM Formula
Given numbers are 504, 456, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 456) = 9576
GCD(504, 456) = ( 504 x 456 ) / 9576
= 504 / 456
= 504
Step2:
LCM(24, 480) = 480
GCD(24, 480) = ( 24 x 480 ) / 480
= 24 / 480
= 24
So, Greatest Common Divisor of 504, 456, 480 is 24
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 504, 456, 480
Given numbers are 504, 456, 480
The greatest common divisor of numbers 504, 456, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 456, 480 is 24.
FAQs on GCD of 504, 456, 480 Calculator
1. What is the GCD of 504, 456, 480?
GCD of given numbers 504, 456, 480 is 24
2. How to calculate the greatest common divisor of 504, 456, 480?
We can find the highest common divisor of 504, 456, 480 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 504, 456, 480 i.e 24.
3. How can I use the GCD of 504, 456, 480Calculator?
Out the numbers 504, 456, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.